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Finding the Third Proportional to 30,458 and 66,434

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Solution

The third proportional to 30,458 and 66,434 is: 144,903.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,458 : 66,434 = 66,434 : x
  2. Step 2: Convert to fraction form
    30,458/66,434 = 66,434/x
  3. Step 3: Cross multiply
    30,458x = 66,434 × 66,434
  4. Step 4: Simplify right side
    30,458x = 4,413,476,356
  5. Step 5: Solve for x
    x = 4,413,476,356/30,458
  6. Step 6: Final answer
    x = 144,903.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.